OffShell: 1811R.001.v1

[Review paper]

Embarking on theoretical studies for off-shell science guided by dressed photons

 Motoichi Ohtsu
(Submitted on 15 November 2018, Uploaded on 15 November 2018)

keywords: dressed photon, off-shell, response function,Clebsch representation


By noting that the dressed photon (DP) is a quantum field whose energy–momentum relation deviates from the mass-shell, novel theoretical studies of so-called off-shell science have been launched. This article reviews recent progress in these studies. After reviewing the characteristics of the DP as an off-shell quantum field, theories having a physical basis are introduced. These theories are an electromagnetic response theory and a theory based on spatio-temporal vortex hydrodynamics. Next, theories having a mathematical basis are introduced, and these can serve as helpful tools for gaining a deep understanding of the concepts of the physics-based theories above. These theories are a quantum probability theory and a quantum walk model. As a further helpful tool, a quantum measurement theory is introduced. A theory based on micro–macro duality is demonstrated, which serves as the foundation to embark on a stuy of off-shell science. Correlations among the theories reviewed here are also shown.

Paper Download

Contact to the author


The copyright holder for this preprint is the author. It is made available under a CC-BY-NC-ND 4.0 International license.